Let X be a random variable with the following probability distribution. Value x of X P(X=x) 30 0.40 40 0.05 50 0.40 60 0.15 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (x) = D (b) Find the variance Var(X) of X. Var (x) = D

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Let \( X \) be a random variable with the following probability distribution.

| Value \( x \) of \( X \) | \( P(X = x) \) |
|---------------------------|----------------|
| 30                        | 0.40           |
| 40                        | 0.05           |
| 50                        | 0.40           |
| 60                        | 0.15           |

Complete the following. (If necessary, consult a list of formulas.)

(a) Find the expectation \( E(X) \) of \( X \).

\[ E(X) = \, \, \]

(b) Find the variance \( \text{Var}(X) \) of \( X \).

\[ \text{Var}(X) = \, \, \]
Transcribed Image Text:Let \( X \) be a random variable with the following probability distribution. | Value \( x \) of \( X \) | \( P(X = x) \) | |---------------------------|----------------| | 30 | 0.40 | | 40 | 0.05 | | 50 | 0.40 | | 60 | 0.15 | Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation \( E(X) \) of \( X \). \[ E(X) = \, \, \] (b) Find the variance \( \text{Var}(X) \) of \( X \). \[ \text{Var}(X) = \, \, \]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman